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Finding the Fourth Proportional to 2,570.90, 3,856.34 and 623.10

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Solution

The fourth proportional to 2,570.90, 3,856.34 and 623.10 is: 934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.90 : 3,856.34 = 623.10 : x
  2. Step 2: Convert to fraction form
    2,570.90/3,856.34 = 623.10/x
  3. Step 3: Cross multiply
    2,570.90x = 3,856.34 × 623.10
  4. Step 4: Simplify right side
    2,570.90x = 2,402,885.45
  5. Step 5: Solve for x
    x = 2,402,885.45/2,570.90
  6. Step 6: Final answer
    x = 934.65

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,571.90, 3,857.84 and 624.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.